论文标题
Banach Lattices中无界收敛的连续功能
Continuous functionals for unbounded convergence in Banach lattices
论文作者
论文摘要
最近，研究了Banach晶格中不同类型的无界融合（UO，UN，UAW，UAW*）。在本文中，我们研究了无限融合的连续功能。我们首先表征了这些收敛的线性函数的连续性。然后，我们定义相应的无界双空间并获得其确切形式。基于这些结果，我们讨论了Banach Lattices的订单连续性和反射性。也获得了一些相关的结果。
Recently, the different types of unbounded convergences (uo, un, uaw, uaw*) in Banach lattices were studied. In this paper, we study the continuous functionals with respect to unbounded convergences. We first characterize the continuity of linear functionals for these convergences. Then we define the corresponding unbounded dual spaces and get their exact form. Based on these results, we discuss order continuity and reflexivity of Banach lattices. Some related results are obtained as well.
